If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively
$T, F, F$
$F, F, F$
$F, T, T$
$T, T, F$
Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
$\sim (p \vee q) \vee (~ p \wedge q)$ is logically equivalent to
$p \Rightarrow q$ can also be written as
The negation of the statement $''96$ is divisible by $2$ and $3''$ is
Consider
Statement $-1 :$$\left( {p \wedge \sim q} \right) \wedge \left( { \sim p \wedge q} \right)$ is a fallacy.
Statement $-2 :$$(p \rightarrow q) \leftrightarrow ( \sim q \rightarrow \sim p )$ is a tautology.